Standard 4 Exercise Diameters of oranges follow a normal distribution with a mean of 2.55 inches and a standard deviation of 0.38 inches. The smallest 3.75% of oranges are discarded as being too small for market. Using this information, determine how large an orange must be in order to go to market and not be discarded. Show all work including a proper graph, the area of interest, the z score, and the diameter(answer). Be sure your solution includes a well written sentence that answers the question clearly and completely. Give your final answer rounded to 3 digits after the decimal point.

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A: Given Mean=$1.573 Standard deviation=$1.105

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those…

A: μ = 100σ = 15 X = 115

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: We have to find correct option.

Q: ssume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A: Given that  Assume the readings on the thermometer is normally distributed . Mean  = 0 degree…

Q: Fluorescent lighbulbs have lifetimes that are normally distributed with a mean of 6.1 years and a…

A: Step 1:The lifetime of fluorescent lightbulbs is normally distributed.mean(μ)=6.1 yearstandrad…

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: To solve this problem, we need to find the 17th percentile (P17) of a normally distributed dataset…

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ…

A: Excel formula: =NORMINV(0.305,0,1)=-0.5100

Q: Which measure would you use to explore the dispersion of your data? Choose all. variance mean mode…

A: We have given that,  Which measure would you use to explore the dispersion of your data?

Q: Find the z-score for a single member of the population which has value 86. if the population has a…

A:

Q: The amount of advertising per hour of broadcast time has an average of 17 minutes and a standard…

A:

Q: When finding the percentage of data in a given section of the normal curve, you are finding the…

A: here use basic of normal distribution

Q: Heights for 16-year-old boys are normally distributed with a mean of 68.3 in. and a standard…

A: Given information: μ=68.3, σ=2.9 The P-value for the 96th percentile = 0.96 Determine the z-score…

Q: A distribution of values is normal with a mean of 235 and a standard deviation of 14.4. Find P63,…

A:

Q: The variable x is normally distributed with a mean of 500 and a standard deviation of 41. Find the…

A: Given that  X follows normal distributionμ=500σ=41

Q: 1. A manufacturer of scientific instruments produces thermometers that measure the freezing point of…

A: Given Information: Consider the given information in which a manufacturer produces thermometers that…

Q: Find the proportion of Normally distributed observations with a zz-score below 3.48. Give your…

A: Let Z be the random variable from standard normal distribution with mean (μ) = 0 standard deviation…

Q: Assume the distribution is normal, use the area of the normal curve to answer the question. At a…

A: Suppose a random variable X, defines the weekly grocery bill.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.4 and a standard…

A: Given,Mean, μ = 96.4Standard deviation, σ = 18Using formula,

Q: find the area of the shaded region. the graph to the right depicts IQ scores of adults and those…

A:

Q: The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.7…

A: GivenMean(μ)=5.7standard deviation(σ)=0.08

Q: people where sampled and their heights were recorded, it was discovered mean height was 5 feet and…

A: Given that  Population mean μ =5 feet 6.3 inches =66.3 1feet=12 inches  5feet=12×5=60+6.3=66.3…

Q: A distribution of values is normal with a mean of 204.2 and a standard deviation of 39.2. Find P84,…

A: Given: A distribution of value is normal with mean of 204.2 A standard deviation of 39.2 It is…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Standard Normal Table.

Q: Identify the​ t-statistic and P-value.

A: The sample size n is 23.

Q: 3. Assume that in a political science dass, the teacher gives a midterm and a final exam. Assume…

A:

Q: A gear has been designed to have a diameter of 4 inches. The standard deviation of the process is…

A: Given the control chart, lets analyze the data.×Out of control, because there are nine consecutive…

Q: Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard…

A: Given that  Z follows standard normal distribution with mean zero and standard deviation one  Z ~…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Given that,Mean = 0Standard deviation = 1Z scores are -1.66 and 1.66

Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…

A: Given that: Population mean, μ=31000 Population standard deviation, σ=3000 Sample size, n=450

Q: The middle 50% of the heights are between what two values? Round to one decimal place.

A: Here Given, Assume that women have heights that are normally distributed with a mean of 63.6 inches…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Given information Mean µ = 0 Standard deviation σ = 1

Q:

A: Given that IQ scores of adults is normally distributed with mean 100 and standard deviation 15. The…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: To solve this problem, we need to find the z-scores that separate the lowest 6% and the highest 6%…